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Finding the Fourth Proportional to 171,966.70, 257,863.65 and 78,366.70

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Solution

The fourth proportional to 171,966.70, 257,863.65 and 78,366.70 is: 117,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,966.70 : 257,863.65 = 78,366.70 : x
  2. Step 2: Convert to fraction form
    171,966.70/257,863.65 = 78,366.70/x
  3. Step 3: Cross multiply
    171,966.70x = 257,863.65 × 78,366.70
  4. Step 4: Simplify right side
    171,966.70x = 20,207,923,300.46
  5. Step 5: Solve for x
    x = 20,207,923,300.46/171,966.70
  6. Step 6: Final answer
    x = 117,510.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.